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Simplifying 17x + 1 = 4(4x + 7) Reorder the terms: 1 + 17x = 4(4x + 7) Reorder the terms: 1 + 17x = 4(7 + 4x) 1 + 17x = (7 * 4 + 4x * 4) 1 + 17x = (28 + 16x) Solving 1 + 17x = 28 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 1 + 17x + -16x = 28 + 16x + -16x Combine like terms: 17x + -16x = 1x 1 + 1x = 28 + 16x + -16x Combine like terms: 16x + -16x = 0 1 + 1x = 28 + 0 1 + 1x = 28 Add '-1' to each side of the equation. 1 + -1 + 1x = 28 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 28 + -1 1x = 28 + -1 Combine like terms: 28 + -1 = 27 1x = 27 Divide each side by '1'. x = 27 Simplifying x = 27
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